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Finding the Fourth Proportional to 217.63, 324.86 and 203.86

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Solution

The fourth proportional to 217.63, 324.86 and 203.86 is: 304.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.63 : 324.86 = 203.86 : x
  2. Step 2: Convert to fraction form
    217.63/324.86 = 203.86/x
  3. Step 3: Cross multiply
    217.63x = 324.86 × 203.86
  4. Step 4: Simplify right side
    217.63x = 66,225.96
  5. Step 5: Solve for x
    x = 66,225.96/217.63
  6. Step 6: Final answer
    x = 304.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.